¿cuántas de las ecuaciones indicadas a continuación representan la
línea que pasa por los puntos (2,3) y (4, -- 7)?
5x + y = 13
y + 7 = –5(x – 4)
y = –5x + 13
y –7 = 5(x – 4)

5x + y = 13 / y = -5x + 13

Step-by-step explanation:

If you want to know if these points are in a equation, you have to check each point in each equation.

So.. let's try. We have the first point (2,3). Now, we're checking in the first equation:

5 . (2) + (3) = 13 (this is a true sentence)

Let's try the another point (4, -7)

5.(4) + (-7) = 13 (this is a true sentence as well)

the second one: y + 7 = -5(x + 4)

3 + 7 = -5(2+6) (it isn't true. So, I won't try the another point).

the third one: y = -5x + 13

(3) = -5.(2) + 13 (this is a true sentence. Let's check now the another point).

(-7) = -5(4) + 13 (this is a true sentence as well).

the fourth one: y - 7 = 5(x + 4)

(3)  - 7 = 5(2 + 4) (it isn't true. I won't check the another point).

Finally, we have as a answer the first and the third equations.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.